Abstract
This paper presents a novel approach for estimating the geometric distance from a given point to the corresponding implicit quadric curve/surface. The proposed estimation is based on the height of a tetrahedron, which is used as a coarse but reliable estimation of the real distance. The estimated distance is then used for finding the best set of quadric parameters, by means of the Levenberg-Marquardt algorithm, which is a common framework in other geometric fitting approaches. Comparisons of the proposed approach with previous ones are provided to show both improvements in CPU time as well as in the accuracy of the obtained results.
This work has been partially supported by the Spanish Government under project TRA2007-62526/AUT; research programme Consolider-Ingenio 2010: MIPRCV (CSD2007-00018); and Catalan Government under project CTP 2008ITT 00001.
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Rouhani, M., Sappa, A.D. (2009). A Novel Approach to Geometric Fitting of Implicit Quadrics. In: Blanc-Talon, J., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2009. Lecture Notes in Computer Science, vol 5807. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04697-1_12
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DOI: https://doi.org/10.1007/978-3-642-04697-1_12
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